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Finding the Third Proportional to 31,762.13 and 43,147.69

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Solution

The third proportional to 31,762.13 and 43,147.69 is: 58,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.13 : 43,147.69 = 43,147.69 : x
  2. Step 2: Convert to fraction form
    31,762.13/43,147.69 = 43,147.69/x
  3. Step 3: Cross multiply
    31,762.13x = 43,147.69 × 43,147.69
  4. Step 4: Simplify right side
    31,762.13x = 1,861,722,936.60
  5. Step 5: Solve for x
    x = 1,861,722,936.60/31,762.13
  6. Step 6: Final answer
    x = 58,614.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.